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Numerical simulation of interfacial flows. (English) Zbl 1283.76055
Brezzi, Franco (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer (ISBN 88-470-0180-3/hbk). 173-178 (2003).
Summary: The present work is devoted to the study of unsteady flows of two immiscible viscous fluids separated by a free moving interface. A unified strategy for the numerical modelling of two-fluid interfacial flows is elaborated, including flows with possible changes of interface topology (like mergers or breakups). The computational approach presented essentially relies on three basic components: the finite element method for spatial approximation, operator-splitting for temporal discretization and the level-set method for interface representation. This enables us to cover a wide range of interfacial flow regimes with high accuracy. The numerical simulations of bubble dynamics phenomena are presented to validate the proposed computational method.
76M25Other numerical methods (fluid mechanics)
76D99Incompressible viscous fluids